A is for Alpha Centauri, one of the very first star systems outside of Earth's that was colonized by human beings.
B is for the Beta Renner system. Whose two species, the Anticans and the Seley. Apparently have developed a taste for each other. And not in a good way.
C is for Charlie Evans.
D is for a Day. The Genesis matrix took only this long to form.
E is for the Edo. A good choice for a franchise location for Risa.
F is for Farragut. The Constitution-class one. James T. Kirk's very first assignment after graduating from Starfleet Academy in 2254.
G is for Garrovick, the Farragut's captain.
H is for Harry Mudd's entertaining moustache.
I is for I Am Not Spock.
J is for Jouret IV.
K is for Klingon Blood Pudding.
L is for Love. Shahna of Triskelion needed help understanding it.
M is for Memory Alpha.
N is for Noel, Dr. Helen Noel. Hands down the finest reason for women's short uniforms in TOS.
O is for Oo-mox - spelled phonetically - Ferengi earjob...
P is for Paxton. John Frederick Paxton.
Q is for Quantum Slapstream Drive.
R is for Red. Engineering and security personnel in the 22nd and 23rd centuries often wore this color.

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"Human instinct is pretty strong. You can't expect us to change overnight."